login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A059172 Numbers k such that k/rad(k) > sqrt(k) where rad(k) is the largest squarefree number dividing k. 35
8, 16, 27, 32, 48, 54, 64, 72, 81, 96, 108, 125, 128, 144, 160, 162, 192, 200, 216, 224, 243, 250, 256, 288, 320, 324, 343, 375, 384, 392, 400, 405, 432, 448, 486, 500, 512, 567, 576, 625, 640, 648, 675, 686, 704, 729, 768, 784, 800, 832, 864, 896, 960, 968 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers k which have measure of smoothness J bigger as 2. Where J = log(k)/log(rad(k)), where rad(k) is product of distinct prime divisors of k. - Artur Jasinski, Feb 02 2010

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Harvey P. Dale)

EXAMPLE

48 is included because 6 is largest squarefree to divide 48 and 48 /6 = 8 > sqrt(48).

MATHEMATICA

aa = {}; Do[kk = FactorInteger[c]; nn = 1; Do[nn = nn*kk[[n]][[1]], {n, 1, Length[kk]}]; If[Log[c]/Log[nn] >= 2, AppendTo[aa, c]], {c, 2, 1000}]; aa (* Artur Jasinski, Feb 02 2010 *)

Select[Range[1000], #/Last[Select[Divisors[#], SquareFreeQ]]>Sqrt[#]&] (* Harvey P. Dale, Dec 14 2017 *)

CROSSREFS

Cf. A003557, A007947.

Sequence in context: A083419 A329134 A090081 * A107606 A245713 A320966

Adjacent sequences:  A059169 A059170 A059171 * A059173 A059174 A059175

KEYWORD

nonn

AUTHOR

Leroy Quet, Feb 14 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 5 19:29 EDT 2021. Contains 343573 sequences. (Running on oeis4.)